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相关论文: An Explicit Example Of Optimal Portfolio-Consumpti…

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This paper considers consumption and portfolio optimization problems with recursive preferences in both infinite and finite time regions. Specially, the financial market consists of a risk-free asset and a risky asset that follows a general…

最优化与控制 · 数学 2024-12-30 Jian-hao Kang , Zhun Gou , Nan-jing Huang

We study an optimal investment and consumption problem over a finite-time horizon, in which an individual invests in a risk-free asset and a risky asset, and evaluate utility using a general utility function that exhibits loss aversion with…

最优化与控制 · 数学 2025-07-08 Chonghu Guan , Xinfeng Gu , Wenhao Zhang , Xun Li

This paper studies the infinite-horizon optimal consumption with a path-dependent reference under exponential utility. The performance is measured by the difference between the nonnegative consumption rate and a fraction of the historical…

数理金融 · 定量金融 2022-03-23 Shuoqing Deng , Xun Li , Huyen Pham , Xiang Yu

We study an optimal investment/consumption problem in a model capturing market and credit risk dependencies. Stochastic factors drive both the default intensity and the volatility of the stocks in the portfolio. We use the martingale…

数理金融 · 定量金融 2018-06-20 Lijun Bo , Agostino Capponi

The "standard" Merton formulation of optimal investment and consumption involves optimizing the integrated lifetime utility of consumption, suitably discounted, together with the discounted future bequest. In this formulation the utility of…

投资组合管理 · 定量金融 2008-12-02 Roman Naryshkin , Matt Davison

We consider an optimal control problem for a linear stochastic integro-diffe\-rential equation with conic constraints on the phase variable and the control of singular-regular type. Our setting includes consumption-investment problems for…

最优化与控制 · 数学 2015-01-20 Dimitri De Vallière , Yuri Kabanov , Emmanuel Lépinette

We consider the problem of maximizing expected utility for a power investor who can allocate his wealth in a stock, a defaultable security, and a money market account. The dynamics of these security prices are governed by geometric Brownian…

投资组合管理 · 定量金融 2014-06-04 Agostino Capponi , Jose Enrique Figueroa Lopez , Andrea Pascucci

We study the problem of optimal portfolio selection under stochastic volatility within a continuous time reinforcement learning framework with portfolio constraints. Exploration is modeled through entropy-regularized relaxed controls, where…

数理金融 · 定量金融 2026-04-27 Thai Nguyen , Pertiny Nkuize

This paper studies a composite problem involving the decision making of the optimal entry time and dynamic consumption afterwards. In stage-1, the investor has access to full market information subjecting to some information costs and needs…

最优化与控制 · 数学 2021-07-05 Yue Yang , Xiang Yu

We consider an optimal investment and consumption problem for a Black-Scholes financial market with stochastic coefficients driven by a diffusion process. We assume that an agent makes consumption and investment decisions based on CRRA…

投资组合管理 · 定量金融 2011-12-12 Berdjane Belkacem , Serguei Pergamenchtchikov

This paper examines a continuous time intertemporal consumption and portfolio choice problem with a stochastic differential utility preference of Epstein-Zin type for a robust investor, who worries about model misspecification and seeks…

最优化与控制 · 数学 2021-03-09 Jiangyan Pu , Qi Zhang

This paper extends the classical consumption and portfolio rules model in continuous time (Merton 1969, 1971) to the framework of decision-makers with time-inconsistent preferences. The model is solved for different utility functions for…

投资组合管理 · 定量金融 2009-03-27 Jesus Marin-Solano , Jorge Navas

This study investigates an optimal investment problem for an insurance company operating under the Cramer-Lundberg risk model, where investments are made in both a risky asset and a risk-free asset. In contrast to other literature that…

数理金融 · 定量金融 2024-06-25 J. Cerda-Hernandez , A. Sikov , A. Ramos

We study a continuous-time portfolio choice problem for an investor whose state-dependent preferences are determined by an exogenous factor that evolves as an It\^o diffusion process. Since risk attitudes at the end of the investment…

数理金融 · 定量金融 2025-12-25 Luca De Gennaro Aquino , Sascha Desmettre , Yevhen Havrylenko , Mogens Steffensen

This paper studies a loss-averse version of the multiplicative habit formation preference and the corresponding optimal investment and consumption strategies over an infinite horizon. The agent's consumption preference is depicted by a…

数理金融 · 定量金融 2026-03-23 Bahman Angoshtari , Xiang Yu , Fengyi Yuan

We investigate a continuous-time investment-consumption problem with model uncertainty in a general diffusion-based market with random model coefficients. We assume that a power utility investor is ambiguity-averse, with the preference to…

投资组合管理 · 定量金融 2024-07-04 Len Patrick Dominic M. Garces , Yang Shen

In this article, we study optimal investment and consumption in an incomplete stochastic factor model for a power utility investor on the infinite horizon. When the state space of the stochastic factor is finite, we give a complete…

数理金融 · 定量金融 2025-09-12 Florian Gutekunst , Martin Herdegen , David Hobson

This paper studies the optimal consumption under the addictive habit formation preference in markets with transaction costs and unbounded random endowments. To model the proportional transaction costs, we adopt the Kabanov's multi-asset…

投资组合管理 · 定量金融 2016-07-26 Xiang Yu

We study the optimal investment-consumption problem for a member of defined contribution plan during the decumulation phase. For a fixed annuitization time, to achieve higher final annuity, we consider a variable consumption rate. Moreover,…

投资组合管理 · 定量金融 2020-08-18 Hassan Dadashi

We formulate an infinite-horizon optimal investment and consumption problem, in which an individual forms a habit based on the exponentially weighted average of her past consumption rate, and in which she invests in a Black-Scholes market.…

数理金融 · 定量金融 2022-06-10 Bahman Angoshtari , Erhan Bayraktar , Virginia R. Young
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